On subgroups of the multiplicative group of skew fields
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- by A. Lichtman PDF
- Proc. Amer. Math. Soc. 63 (1977), 15-16 Request permission
Abstract:
We give an example of a skew field D for which the multiplicative group ${D^ \ast }$ of D contains a finitely generated subgroup which satisfies a nontrivial identity and has no solvable normal subgroup of finite index. It gives a negative answer to a question of S. Bachmuth.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 15-16
- MSC: Primary 20H20; Secondary 16A18
- DOI: https://doi.org/10.1090/S0002-9939-1977-0447432-0
- MathSciNet review: 0447432